W. Jin

activity

20152022

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4 papers · 1 filter

math.CO2022

Two-arc-transitive bicirculants

Wei Jin

In this paper, we determine the class of finite 2-arc-transitive bicirculants. We show that a connected $2$ -arc-transitive bicirculant is one of the following graphs: $C_{2 n}$ wher…

math.CO2021

Vertex quasiprimitive two-geodesic transitive graphs

Wei Jin

For a non-complete graph $Γ$ , a vertex triple $(u, v, w)$ with $v$ adjacent to both $u$ and $w$ is called a $2$ -geodesic if $u \neq = w$ and $u, w$ are not adjacent. Then $Γ$ is said to…

math.CO2019

Finite 2-arc-transitive strongly regular graphs and 3-geodesic-transitive graphs

Wei Jin, Cheryl E. Praeger

We classify all the $2$ -arc-transitive strongly regular graphs, and use this classification to study the family of finite $(G, 3)$ -geodesic-transitive graphs of girth $4$ or $5$ for…

math.CO2015

Finite 2-geodesic transitive graphs of prime valency

Alice Devillers, Wei Jin, Cai Heng Li +1

We classify non-complete prime valency graphs satisfying the property that their automorphism group is transitive on both the set of arcs and the set of $2$ -geodesics. We prove tha…